TY - GEN
T1 - Delay-dependent adaptive control of uncertain time-delay systems
AU - Nounou, Hazem N.
PY - 2006
Y1 - 2006
N2 - In this article, delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying delay and nonlinear dynamical perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the weight of the state norm is assumed to be known. In the second problem, asymptotically stabilizing adaptive controller is derived when the weight of the state norm is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.
AB - In this article, delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying delay and nonlinear dynamical perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the weight of the state norm is assumed to be known. In the second problem, asymptotically stabilizing adaptive controller is derived when the weight of the state norm is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.
UR - http://www.scopus.com/inward/record.url?scp=39549116001&partnerID=8YFLogxK
U2 - 10.1109/cdc.2006.376713
DO - 10.1109/cdc.2006.376713
M3 - Conference contribution
AN - SCOPUS:39549116001
SN - 1424401712
SN - 9781424401710
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2795
EP - 2800
BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 45th IEEE Conference on Decision and Control 2006, CDC
Y2 - 13 December 2006 through 15 December 2006
ER -